Answer:
y^10
multiplication of exponents is like addition, you just add exponents
After plotting all the three points, we get the parabolic equation in the form is 2(x - 1)²-34.
<h3>What is parabola?</h3>
Any point on a parabola, which has the shape of a U, is situated at an equal distance from the focus, a fixed point, and the directrix, a fixed line.
General equation of the quadratic equation,
Y = ax² + bx +c
Given points,
(-2, 0),
(-1, -10),
(4, 0).
Putting the points in the general equation,
Putting (-2, 0), we get
0 = 4a - 2b + c
Putting (-1, -10), we get
-10 = a - b +c
Putting (4, 0), we get
0 = 16a + 4b +c
Solving all equations we get,
a = 2 , b = -4 , c = -16
After putting the values,
Y = 2x²- 4x- 16
2(x² - 2x - 8)
2(x²- 2x + 1 - 1 - 16)
=2(x - 1)²-34
Hence we get the required equation in the parabolic form.
To know more about parabola, visit :
brainly.com/question/21685473
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Answer:
a) the expected number of tweets with no reaction is 71 tweets
b) the variance is 20.59 tweets² ( ≈ 21 tweets )and the standard deviation is
4.537 tweets (≈ 5 tweets)
Step-by-step explanation:
we can use the binomial probability distribution
P(x, N, p ) = N!/[(N-x)!x!] * p^x * (1-p)^(N-x)
where
x = number of successful events
N = population total
p = probability for success for every individual and independent event
P = probability for x successful events
in our case p = 71% = 71/100 (probability of a tweet without reaction) , N = 100 tweets
a) the expected number of tweets
E(x) = N* p = 100 tweets * 71/100 = 71 tweets
b) the variance is
V(x) = N * p * (1-p)
V = 100 * 71/100 * (1-71/100) = 71* 29/100 = 20.59 tweets² ( units of variance are [N²] )
the standard deviation is
s = √V = √20.59 tweets² = 4.537 tweets
Hm i think it might be 2:8?